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Finding the Third Proportional to 206,813.25 and 316,170

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Solution

The third proportional to 206,813.25 and 316,170 is: 483,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.25 : 316,170 = 316,170 : x
  2. Step 2: Convert to fraction form
    206,813.25/316,170 = 316,170/x
  3. Step 3: Cross multiply
    206,813.25x = 316,170 × 316,170
  4. Step 4: Simplify right side
    206,813.25x = 99,963,468,900
  5. Step 5: Solve for x
    x = 99,963,468,900/206,813.25
  6. Step 6: Final answer
    x = 483,351.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.